A central angle is an angle with endpoints and located on a circle's circumference and vertex located at the circle's center (Rhoad et al. 1984, p. 420). A central angle in a circle determines an arc .

For an inscribed angle and central angle with the same endpoints,

(Jurgensen et al. 1963, p. 328).

Jurgensen, R. C.; Donnelly, A. J.; and Dolciani, M. P. Th. 42 in Modern Geometry: Structure and Method. Boston, MA: Houghton-Mifflin, 1963.

Pedoe, D. Circles: A Mathematical View, rev. ed. Washington, DC: Math. Assoc. Amer., pp. xxi-xxii, 1995.

Rhoad, R.; Milauskas, G.; and Whipple, R. Geometry for Enjoyment and Challenge, rev. ed. Evanston, IL: McDougal, Littell & Company, 1984.

CITE THIS AS:

Weisstein, Eric W. "Central Angle." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/CentralAngle.html